10 citations · 15 across the 4 of their papers we have counts for
4 papers
Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials
Dmitry Beliaev, Stephen Muirhead, Igor Wigman
We study the percolation properties of the nodal structures of random fields. Lower bounds on crossing probabilities (RSW-type estimates) of quads by nodal domains or nodal sets of…
How anisotropy beats fractality in two-dimensional on-lattice DLA growth
Denis S. Grebenkov, Dmitry Beliaev
We study the fractal structure of Diffusion-Limited Aggregation (DLA) clusters on the square lattice by extensive numerical simulations (with clusters having up to particles…
Integral means spectrum of random conformal snowflakes
D. Beliaev
In this paper we construct random conformal snowflakes with large integral means spectrum at different points. These new estimates are significant improvement over previously known…
Random conformal snowflakes
D. Beliaev, S. Smirnov
In many problems of classical analysis extremal configurations appear to exhibit complicated fractal structure. This makes it much harder to describe extremals and to attack such p…